Let be a subgroup of a group and denote the subgroup of generated by all those subgroups of which are -permutably embedded in . is said to be --supplemented in if there exists a subnormal subgroup of such that and . In this paper, we investigate the influence of some --supplemented subgroups on the structure of finite group. Some new characterizations of -supersoluble groups are obtained.
Cite this article
Changwen Li, Xiaolong Yu, Na Tang, Finite -supersoluble groups with some --supplemented subgroups. Rend. Sem. Mat. Univ. Padova 133 (2015), pp. 79–90DOI 10.4171/RSMUP/133-3